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Finding the Fourth Proportional to 10,373.55, 14,315.64 and 5,657.83

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Solution

The fourth proportional to 10,373.55, 14,315.64 and 5,657.83 is: 7,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.55 : 14,315.64 = 5,657.83 : x
  2. Step 2: Convert to fraction form
    10,373.55/14,315.64 = 5,657.83/x
  3. Step 3: Cross multiply
    10,373.55x = 14,315.64 × 5,657.83
  4. Step 4: Simplify right side
    10,373.55x = 80,995,400.46
  5. Step 5: Solve for x
    x = 80,995,400.46/10,373.55
  6. Step 6: Final answer
    x = 7,807.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.